Finite Group Databasebeta

← Group #11883942

Character table — Group #11883942

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666623444666121212121212121212121212121212122226666666666661212121212121212444668812122444812121212121224242424228861228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111-1-1111111111-1-1-1-111111111-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-11-1-11111-1-111-1-1-11
χ611111111111111111-1-1111111111-1-1-1-111111111-11-1-11-1-111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-11-11-1-11-1-1-1-1-1-111-1-1111-1
χ711111111111111111-1-1111111111-1-1-1-1111111-1-1-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-111-11-111-111111111-1-1-1-11-1
χ811111111111111111-1-1111111111-1-1-1-1111111-1-1-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-11111-11
χ911111111111111-11-111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11111-1-111-1-1-1-1-1-111111-1-111111-1-1-1
χ1011111111111111-11-111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-1-1-1-1-11-111-1-1-1111-1-111-1-1-1-1-1111
χ1111111111111111-11-111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111111-11-1-1111-1-1-111-1-1-1-1-1-11-111
χ1211111111111111-11-111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-111-1-1111111-1-1-1-1-1111111-11-1-1
χ1311111111111111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111-111-111-1-11111-1-111-1-1-1-1-11-11111-1-1-1-111-1-1111-1-111-1-1-1-111-111-1
χ1411111111111111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111-111-111-1-11111-1-111-1-1-1-1-11-111-1-1-1-11-11-11-1111-1-1-1-11111-1-11-1-11
χ1511111111111111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-111-1-11111-1-111-1-1-1-11-11-1-11111-11-11-11-1-1-11111-1-111-1-1-11-11
χ1611111111111111-11-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-111-111-1-11111-1-111-1-1-1-11-11-1-1-1-11111-1-111-1-1-111-1-111-1-1111-11-1
χ17222222-2-222222222-200222-2-2-2-2-2-20000-2-2-2-2-2-222020020022000000-2-20000-2-222200-2-200000200-200000000000000
χ18222222-2-222222222-200222-2-2-2-2-2-20000-2-2-2-2-2-2-2-2020020022000000-2-2000022-2-2-2002200000-200200000000000000
χ19222222-2-2222222-2220022222-2-22200002222-2-2220-200-200-2-2000000-2-200002-2-222002200000-200-200000000000000
χ20222222-2-2222222-2220022222-2-22200002222-2-2-2-20-200-200-2-2000000-2-20000-222-2-200-2-200000200200000000000000
χ2122222-122-12-1-1222-1222-1-1-1-1-122222222-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000220020022000000-1-1-1-10000-1-100
χ2222222-122-12-1-1222-1222-1-1-1-1-122222222-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-200-200-2-2000000111100001100
χ2322222-122-12-1-1222-12-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-100-22-2-2-111-1-1111111-1-11111000002200-200-22000000-1-1-1-100001100
χ2422222-122-12-1-1222-12-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-100-22-2-2-111-1-1111111-1-1111100000-2-2002002-200000011110000-1-100
χ2522222-122-12-1-122-2-1-222-1-1-11122-2-222221111-1-100-2-2-2-2111111111-1-1-1-1-1-1-1-1000002200200-2-2000000-1-1110000-1100
χ2622222-122-12-1-122-2-1-222-1-1-11122-2-222221111-1-100-2-2-2-2111111111-1-1-1-1-1-1-1-100000-2-200-2002200000011-1-100001-100
χ2722222-122-12-1-122-2-1-2-2-2-1-1-11122-2-2-2-2-2-21111-1-1002-2221-1-111-1-1-1-111-1-11111000002200-2002-2000000-1-11100001-100
χ2822222-122-12-1-122-2-1-2-2-2-1-1-11122-2-2-2-2-2-21111-1-1002-2221-1-111-1-1-1-111-1-1111100000-2-200200-2200000011-1-10000-1100
χ292222-12222-122-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222-1-100-1-102200-1-1-1-1-1-1000000000000
χ302222-12222-122-1-12-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-2-22-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-21100110-2-200111111000000000000
χ312222-12222-122-1-12-12-2-2-1-1-122-1-1-1-11111-1-1-1-12222-2-1112-2-2-1-11111-2-2-1-11111222-1-100-1-10-2-200-111-111000000000000
χ322222-12222-122-1-12-12-2-2-1-1-122-1-1-1-11111-1-1-1-122-2-2-2-1112-2-2-1-11111-2-2-1-11111-2-2-2110011022001-1-11-1-1000000000000
χ332222-12222-122-1-1-2-1-222-1-1-1-2-2-1-111-1-1-1-111112222-2111-2-2-211111122-1-1-1-1-1-1-22-2-1-1001102-200111-1-1-1000000000000
χ342222-12222-122-1-1-2-1-222-1-1-1-2-2-1-111-1-1-1-1111122-2-2-2111-2-2-211111122-1-1-1-1-1-12-221100-1-10-2200-1-1-1111000000000000
χ352222-12222-122-1-1-2-1-2-2-2-1-1-1-2-2-1-11111111111222221-1-1-22211-1-1-1-1-2-2-1-11111-22-2-1-100110-22001-1-1-111000000000000
χ362222-12222-122-1-1-2-1-2-2-2-1-1-1-2-2-1-1111111111122-2-221-1-1-22211-1-1-1-1-2-2-1-111112-221100-1-102-200-1111-1-1000000000000
χ372222-12-2-22-122-1-12-1-200-1-1-1-2-21111−i3−i3i3i31111-2-2220-1−i3i3200-1-1−i3−i3i3i30011−i3−i3i3i3-2-22-1-1001100000-1−i3i31−i3i3000000000000
χ382222-12-2-22-122-1-12-1-200-1-1-1-2-21111−i3−i3i3i31111-2-2-2-20-1−i3i3200-1-1−i3−i3i3i30011−i3−i3i3i322-21100-1-1000001i3−i3-1i3−i3000000000000
χ392222-12-2-22-122-1-12-1-200-1-1-1-2-21111i3i3−i3−i31111-2-2220-1i3−i3200-1-1i3i3−i3−i30011i3i3−i3−i3-2-22-1-1001100000-1i3−i31i3−i3000000000000
χ402222-12-2-22-122-1-12-1-200-1-1-1-2-21111i3i3−i3−i31111-2-2-2-20-1i3−i3200-1-1i3i3−i3−i30011i3i3−i3−i322-21100-1-1000001−i3i3-1−i3i3000000000000
χ412222-12-2-22-122-1-1-2-1200-1-1-12211-1-1−i3−i3i3i3-1-1-1-1-2-22201i3−i3-20011i3i3−i3−i30011−i3−i3i3i32-2-2-1-100-1-1000001i3−i31−i3i3000000000000
χ422222-12-2-22-122-1-1-2-1200-1-1-12211-1-1−i3−i3i3i3-1-1-1-1-2-2-2-201i3−i3-20011i3i3−i3−i30011−i3−i3i3i3-22211001100000-1−i3i3-1i3−i3000000000000
χ432222-12-2-22-122-1-1-2-1200-1-1-12211-1-1i3i3−i3−i3-1-1-1-1-2-22201−i3i3-20011−i3−i3i3i30011i3i3−i3−i32-2-2-1-100-1-1000001−i3i31i3−i3000000000000
χ442222-12-2-22-122-1-1-2-1200-1-1-12211-1-1i3i3−i3−i3-1-1-1-1-2-2-2-201−i3i3-20011−i3−i3i3i30011i3i3−i3−i3-22211001100000-1i3−i3-1−i3i3000000000000
χ452-22-222-22-2-22-2-220202-2-2-22002-2002-22-200002-20000000000000002-22-22-22-20000000000000000000000002-22-20000
χ462-22-222-22-2-22-2-220202-2-2-22002-2002-22-200002-20000000000000002-22-22-22-2000000000000000000000000-22-220000
χ472-22-222-22-2-22-2-22020-22-2-22002-200-22-2200002-2000000000000000-222-2-22-220000000000000000000000002-2-220000
χ482-22-222-22-2-22-2-22020-22-2-22002-200-22-2200002-2000000000000000-222-2-22-22000000000000000000000000-222-20000
χ4944444-2-4-4-24-2-2444-2-400-2-2-222-4-4-4-40000222222000400-200-2-200000022000000000000000000000000000000000000
χ5044444-2-4-4-24-2-244-4-2400-2-2-2-2-2-4-4440000-2-2-2-222000-4002002200000022000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-241444111-2-2-2-2-2-2-2-2-2-21111-2-2004-2-2-2-2-2-2111111-2-211111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2414-4-4111-2-2-2-2-2-222221111-2-200-4-222-22211-1-1-1-12211-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-44411122-2-222-2-2-2-2-1-1-1-1-2-200-4222222-1-1-1-1-1-1-2-211111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-4-4-411122-2-2222222-1-1-1-1-2-20042-2-22-2-2-1-111112211-1-1-1-100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-400111222222−2i3−2i32i32i3-1-1-1-122000-2−2i32i3-20011i3i3−i3−i300-1-1i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4001112222222i32i3−2i3−2i3-1-1-1-122000-22i3−2i3-20011−i3−i3i3i300-1-1−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41400111-2-222-2-2−2i3−2i32i32i311112200022i3−2i3200-1-1−i3−i3i3i300-1-1i3i3−i3−i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-41400111-2-222-2-22i32i3−2i3−2i31111220002−2i32i3200-1-1i3i3−i3−i300-1-1−i3−i3i3i300000000000000000000000000000000
χ5944-4-4440044-4-4-4-4040004-4-400000000000000000000000000000000000000000000−2i22i20000000000000−2i22i20000000000
χ6044-4-4440044-4-4-4-4040004-4-4000000000000000000000000000000000000000000002i2−2i200000000000002i2−2i20000000000
χ6144-4-44-200-2422-4-40-2000-22223−23000000002323−23−23000000000000000000000000000000−2i22i20000000000000i2−i2i6−i600000000
χ6244-4-44-200-2422-4-40-2000-22223−23000000002323−23−230000000000000000000000000000002i2−2i20000000000000−i2i2−i6i600000000
χ6344-4-44-200-2422-4-40-2000-222−232300000000−23−232323000000000000000000000000000000−2i22i20000000000000i2−i2−i6i600000000
χ6444-4-44-200-2422-4-40-2000-222−232300000000−23−2323230000000000000000000000000000002i2−2i20000000000000−i2i2i6−i600000000
χ654-44-4444-4-4-44-4-4404000-4-4400-440000000000-4400000000000000000-44000000000000000000000000000000000000
χ664-44-44-24-42-4-22-440-200022-200-4400000000002-20000000−2i32i300−2i32i3−2i32i3002-2000000000000000000000000000000000000
χ674-44-44-24-42-4-22-440-200022-200-4400000000002-200000002i3−2i3002i3−2i32i3−2i3002-2000000000000000000000000000000000000
χ684-44-44-2-442-4-22-440-204-422-2004-4004-44-40000-22000000000000000-22-22-22-2200000000000000000000000000000000
χ694-44-44-2-442-4-22-440-20-4422-2004-400-44-440000-220000000000000002-2-222-22-200000000000000000000000000000000
χ704-44-4-244-4-424-42-20-200022-2002-200−2i32i32i3−2i30000-44000000000000000002-2−2i32i32i3−2i300000000000000000000000000000000
χ714-44-4-244-4-424-42-20-200022-2002-2002i3−2i3−2i32i30000-44000000000000000002-22i3−2i3−2i32i300000000000000000000000000000000
χ724-44-4-24-44-424-42-20-204-422-200-2200-22-2200004-40000000000000004-4-22-22-2200000000000000000000000000000000
χ734-44-4-24-44-424-42-20-20-4422-200-22002-22-200004-4000000000000000-44-222-22-200000000000000000000000000000000
χ744-44-4-2-24-422-222-201000-1-11002-200−2i32i32i3−2i33-33-32-20000000−2i32i33-3i3−i3i3−i300-11i3−i3−i3i300000000000000000000000000000000
χ754-44-4-2-24-422-222-201000-1-11002-200−2i32i32i3−2i3-33-332-200000002i3−2i3-33−i3i3−i3i300-11i3−i3−i3i300000000000000000000000000000000
χ764-44-4-2-24-422-222-201000-1-11002-2002i3−2i3−2i32i33-33-32-200000002i3−2i33-3−i3i3−i3i300-11−i3i3i3−i300000000000000000000000000000000
χ774-44-4-2-24-422-222-201000-1-11002-2002i3−2i3−2i32i3-33-332-20000000−2i32i3-33i3−i3i3−i300-11−i3i3i3−i300000000000000000000000000000000
χ784-44-4-2-2-4422-222-20104-4-1-1100-2200-22-223-33-3-22000000000-333-3-33-221-11-11-100000000000000000000000000000000
χ794-44-4-2-2-4422-222-20104-4-1-1100-2200-22-22-33-33-220000000003-3-333-3-221-11-11-100000000000000000000000000000000
χ804-44-4-2-2-4422-222-2010-44-1-1100-22002-22-23-33-3-22000000000-33-333-32-21-1-11-1100000000000000000000000000000000
χ814-44-4-2-2-4422-222-2010-44-1-1100-22002-22-2-33-33-220000000003-33-3-332-21-1-11-1100000000000000000000000000000000
χ824-4-444400-4-4-444-404000-44-400000000000000004-40000000000000000000000004-4000000000000000000000000000
χ834-4-444400-4-4-444-404000-44-40000000000000000-44000000000000000000000000-44000000000000000000000000000
χ844-4-44-2400-42-44-220-20002-22000023−23000023−23−2323004-4000000000000000000000000-220023−2300000000000000000000000
χ854-4-44-2400-42-44-220-20002-22000023−23000023−23−232300-440000000000000000000000002-200−232300000000000000000000000
χ864-4-44-2400-42-44-220-20002-220000−23230000−232323−23004-4000000000000000000000000-2200−232300000000000000000000000
χ874-4-44-2400-42-44-220-20002-220000−23230000−232323−2300-440000000000000000000000002-20023−2300000000000000000000000
χ8888-8-8-48008-4-8-8440-4000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-44444020002-2-243−4300000000−23−232323000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-4-44444020002-2-2−4343000000002323−23−23000000000000000000000000000000000000000000000000000000000
χ918-8-888-4004-84-48-80-40004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400444-4-4402000-22-2000043−430000−232323−23000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400444-4-4402000-22-20000−4343000023−23−2323000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).